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Finding the Fourth Proportional to 562.27, 839.62 and 558.85

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Solution

The fourth proportional to 562.27, 839.62 and 558.85 is: 834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.27 : 839.62 = 558.85 : x
  2. Step 2: Convert to fraction form
    562.27/839.62 = 558.85/x
  3. Step 3: Cross multiply
    562.27x = 839.62 × 558.85
  4. Step 4: Simplify right side
    562.27x = 469,218.67
  5. Step 5: Solve for x
    x = 469,218.67/562.27
  6. Step 6: Final answer
    x = 834.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.